Question

A line passing through the points \((9,7,5)\) and \((2,10,0)\) is perpendicular to a plane \(\pi\) passing through the point \((200,30,116)\). If the plane \(\pi\) cuts the \(X\)-, \(Y\)-, \(Z\)-axes at the points \(A\), \(B\), \(C\) respectively, then the centroid of \(\triangle ABC\) is

• A. \((70,-220,127)\)
• B. \((80,-200,125)\)
• C. \((90,-210,126)\)
• D. \((75,-205,128)\)

Hint:

Whenever a line is perpendicular to a plane, immediately use the direction ratios of the line as the normal vector of the plane. Once the plane equation is obtained, axis intercepts can be found by setting the remaining variables equal to zero.

Answer 1

The Correct Option is C